If g(0) = 2i − 3j, f(0) = 3i + 4j, g 0 (0) = −2i, and f 0 (0) = 3j, find (a) The derivative of f(t) · g(t) at t = 0. (b) The derivative of f(t) × g(t) at t = 0.

Mr. vasquez determines that the area of a bathroom is in his house is 25 square feet less than one-fifth of the area of the living room if the bathroom measures 35 square feet what is the area of the living room

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?

Given sin∅ = 1/3 and 0 < ∅ < π/2 ; find tan2∅ a. (4√2)/9 b. 9/7 c. (4√2)/7 d.7/9